Place Value in Mathematics
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One thousand
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Place
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Place value
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Expanded from
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Predecessor & Successor
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Ordering of numbers
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Let' us know numbers beyond
999
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One more than greatest 3-
digit number i, e
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999 + 1 = 1000(Smallest 4-
digit number)
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Every digit has a particular place in a number.
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Let's take 1489
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Places of a four digit number-4123
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4-Thousands ,
1-Hundreds ,
2-Tens ,
3-Ones
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10 ones = 1 ten
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10 tens = 1 hundred
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10 hundreds = 1 thousand
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Place value - The value obtained as the
product of the digit itself and it's place in the
number.
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1-thousand or 1000 ,2 - hundred or 200 , 3-
tens or 30 , 7-ones or 7
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Consider a numeral 5623
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The place value of 3 is 3 ones =3
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The place value of 2 is 2 tens =20
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The place value of 6 is 6 hundreds = 600
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The place value of 5 is 5 thousads = 5000
EXPANDED FORM
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The way of writing a numeral as the sum of
the place values of its digits.
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Let us consider
4567
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4567=4thousand+5hundred+6tens+7ones
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= 4000 + 500 + 60 +
7
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Successor is the number that comes just
after a particular number Or
the
next
number.
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Successor of 4699 = 4699+1= 4700
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Predecessor is the number that comes
just before a particular number Or the
previous number.
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Predecessor of 4699= 4699
-1= 4698
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COMPARING TWO NUMBERS
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Step-I : Compare the number of digits in the given
numerals.
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Step-II : If both have same number of digits compare
the digits at greatest place.
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Step-III : If they are same, compare the next place
and so on ......
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Exp: 3547 & 3574 , In th. Place 3=3 , hundreds
place 5=5 but in tens place 4<7, hence
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3547 <
3574
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Arranging numbers from
greatest to smallest.
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1. Write the number names
a. 4201 b. 9999 c. 7002
2. Draw an abacus to represent
a. 3040 b. 4861
3. Fill in the blanks.
a. 1000= ___ tens
b. _____ hundreds = 1 thousand
4. Wite the place and place value of 7 in the following
numerals.
a. 3710 b. 7541 c.3217
5. Compare the following(Using <, >, or =)
a. 3845 _ 3854 b. 7003 _ 7002 c. 5014 _ 5014
Continues.......
ASSIGNMENTS.......
6. Rewrite the following in ascending order.
5643 ; 5634 ; 5436 ; 5346 ; 5463
7. Rewrite the following in descending order.
2097 ; 8709 ; 999 ; 4870 ; 4274
8. HOTS : Find the sum and difference of the
place values of 3 and 9 in the following
numerals. a) 9537 b) 4903
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1. Place-The position of the digit in a number.
e. g : Ones, tens, hundreds etc...
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. Place value- Product of the place and the face value.
3. Expanded form- The way of expressing a number as the sum
of the place values of its digits.
4. Predecessor-The number that comes just before a particular
number is known as the predecessor.
5.Successor- The number that comes just after a particular
number is known as the successor.
6.Ascending Order-An order in which numbers are arranged
from smallest to greatest.
7.Descending order-An order in which the numbers are
arranged from greatest to smallest.
THANK YOU
🙏
Courtesy
DAV INSTITUTIONS ODISHA ZONE-1
Explore the basics of place value, from ones to thousands, and learn how to expand a numeral into its place values. Discover the power of each place in a number and write numerals in expanded form to understand the value of each digit. Dive into the concept of place value through images and explanations.
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Presentation Transcript
CLASS CLASS- -III, MATHEMATICS III, MATHEMATICS Chapter 1 Chapter 1 NUMBERS UPTO 9,999 NUMBERS UPTO 9,999
BASICS OF THE CHAPTER BASICS OF THE CHAPTER One thousand Place Place value Expanded from Predecessor & Successor Ordering of numbers
NUMBERS THAT WE KNOW UPTO NUMBERS THAT WE KNOW UPTO 999 999 Let' us know numbers beyond 999 One more than greatest 3- digit number i, e 999 + 1 = 1000(Smallest 4- digit number)
PLACES PLACES Every digit has a particular place in a number. Let's take 1489
PLACES IN ABACUS PLACES IN ABACUS Places of a four digit number-4123 4-Thousands , 1-Hundreds , 2-Tens , 3-Ones
POWER OF THE PLACES POWER OF THE PLACES 10 ones = 1 ten 10 tens = 1 hundred 10 hundreds = 1 thousand
PLACE VALUE PLACE VALUE Place value - The value obtained as the product of the digit itself and it's place in the number.
UNDERSTANDING PLACE VALUE UNDERSTANDING PLACE VALUE 1-thousand or 1000 ,2 - hundred or 200 , 3- tens or 30 , 7-ones or 7
PLACE VALUE OF A PLACE VALUE OF A NUMERAL NUMERAL Consider a numeral 5623 The place value of 3 is 3 ones =3 The place value of 2 is 2 tens =20 The place value of 6 is 6 hundreds = 600 The place value of 5 is 5 thousads = 5000
EXPANDED FORM The way of writing a numeral as the sum of the place values of its digits.
WRITING THE EXPANDED WRITING THE EXPANDED FORM...... FORM......
EXPANDED FORM IN 2 WAYS.. EXPANDED FORM IN 2 WAYS.. Let us consider 4567 4567=4thousand+5hundred+6tens+7ones = 4000 + 500 + 60 + 7
SUCCESSOR & PREDECESSOR SUCCESSOR & PREDECESSOR Successor is the number that comes just after a particular number Or the next number. Successor of 4699 = 4699+1= 4700 Predecessor is the number that comes just before a particular number Or the previous number. Predecessor of 4699= 4699-1= 4698
COMPARISON OF NUMBERS COMPARISON OF NUMBERS COMPARING TWO NUMBERS Step-I : Compare the number of digits in the given numerals. Step-II : If both have same number of digits compare the digits at greatest place. Step-III : If they are same, compare the next place and so on ...... Exp: 3547 & 3574 , In th. Place 3=3 , hundreds place 5=5 but in tens place 4<7, hence 3547 < 3574
COMPARISON ACTIVITY COMPARISON ACTIVITY
ASCENDING ORDER ASCENDING ORDER
NUMBERS IN ASCENDING ORDER NUMBERS IN ASCENDING ORDER
DESCENDING ORDER DESCENDING ORDER
NUMBERS IN DESCENDING ORDER NUMBERS IN DESCENDING ORDER
ASSIGNMENTS.... ASSIGNMENTS.... 1. Write the number names a. 4201 b. 9999 c. 7002 2. Draw an abacus to represent a. 3040 b. 4861 3. Fill in the blanks. a. 1000= ___ tens b. _____ hundreds = 1 thousand 4. Wite the place and place value of 7 in the following numerals. a. 3710 b. 7541 c.3217 5. Compare the following(Using <, >, or =) a. 3845 _ 3854 b. 7003 _ 7002 c. 5014 _ 5014 Continues.......
ASSIGNMENTS....... 6. Rewrite the following in ascending order. 5643 ; 5634 ; 5436 ; 5346 ; 5463 7. Rewrite the following in descending order. 2097 ; 8709 ; 999 ; 4870 ; 4274 8. HOTS : Find the sum and difference of the place values of 3 and 9 in the following numerals. a) 9537 b) 4903
KEYWORDS... KEYWORDS... 1. Place-The position of the digit in a number. e. g : Ones, tens, hundreds etc... 2. Place value- Product of the place and the face value. 3. Expanded form- The way of expressing a number as the sum of the place values of its digits. 4. Predecessor-The number that comes just before a particular number is known as the predecessor. 5.Successor- The number that comes just after a particular number is known as the successor. 6.Ascending Order-An order in which numbers are arranged from smallest to greatest. 7.Descending order-An order in which the numbers are arranged from greatest to smallest.
THANK YOU Courtesy DAV INSTITUTIONS ODISHA ZONE-1
